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$a$ =

$c$ =

$\leq a \leq$

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Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
45028 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^4$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ 1.7123 1.7873 0.958 [X:[1.4], M:[0.9], q:[0.5, 0.6], qb:[], phi:[0.3]] [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 6849/4000, c: 7149/4000, X1: 7/5, M1: 9/10, q1: 1/2, q2: 3/5, phi1: 3/10}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_1^2$, $ q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2$, $ q_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$ $\phi_1^3q_1q_2$ 0 t^2.7 + t^3. + t^3.3 + 3*t^3.6 + 2*t^4.2 + t^4.8 + t^5.1 + 2*t^5.4 + 2*t^6.3 + 3*t^6.6 + 4*t^6.9 + 7*t^7.2 + 2*t^7.5 + 7*t^7.8 + 3*t^8.1 + 5*t^8.4 + 2*t^8.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^6.6/y - t^6.9/y - t^7.2/y - (3*t^7.5)/y - t^8.1/y - (2*t^8.4)/y - (2*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - t^6.6*y - t^6.9*y - t^7.2*y - 3*t^7.5*y - t^8.1*y - 2*t^8.4*y - 2*t^8.7*y t^2.7 + t^3. + t^3.3 + 3*t^3.6 + 2*t^4.2 + t^4.8 + t^5.1 + 2*t^5.4 + 2*t^6.3 + 3*t^6.6 + 4*t^6.9 + 7*t^7.2 + 2*t^7.5 + 7*t^7.8 + 3*t^8.1 + 5*t^8.4 + 2*t^8.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^6.6/y - t^6.9/y - t^7.2/y - (3*t^7.5)/y - t^8.1/y - (2*t^8.4)/y - (2*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - t^6.6*y - t^6.9*y - t^7.2*y - 3*t^7.5*y - t^8.1*y - 2*t^8.4*y - 2*t^8.7*y


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
45214 $M_1\phi_1^2q_1$ + $ q_1^4$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ M_2q_1q_2$ 1.7213 1.8026 0.9549 [X:[1.4], M:[0.9, 0.9], q:[0.5, 0.6], qb:[], phi:[0.3]] 2*t^2.7 + t^3. + 3*t^3.6 + 2*t^4.2 + t^4.8 + t^5.1 + 4*t^5.4 + t^5.7 - t^6. - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y detail {a: 55083/32000, c: 57683/32000, X1: 7/5, M1: 9/10, M2: 9/10, q1: 1/2, q2: 3/5, phi1: 3/10}


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id Theory Superpotential Central Charge $a$ Central Charge $c$ Ratio $a/c$ $R$-charges More Info. Rational


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
44968 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^4$ 1.8119 1.9364 0.9357 [X:[], M:[0.7881], q:[0.5, 0.4322], qb:[], phi:[0.3559]] t^2.14 + t^2.36 + t^2.59 + t^2.8 + t^3. + t^3.43 + t^3.86 + 2*t^4.27 + t^4.5 + 3*t^4.73 + 2*t^4.93 + t^4.96 + 2*t^5.14 + t^5.16 + t^5.19 + t^5.36 + t^5.39 + t^5.57 + 2*t^5.59 + t^5.8 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y detail